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Bifurcation in a quartic polynomial system arising in biology

Part of the Lecture Notes in Mathematics book series (LNM,volume 1455)

Keywords

  • Vector Field
  • Hopf Bifurcation
  • Phase Portrait
  • Double Root
  • Transcritical Bifurcation

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References

  1. A. A. Andronov, E. A. Leontovich, I. I. Gordon, and A. G. Maier, “Theory of Bifurcations of Dynamic Systems on a Plane,” Israel Program for Scientific Translations, John Wiley & Sons, New York, 1973.

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  4. H. I. Freedman, “Deterministic Mathematical Models in Population Ecology,” Marcel Dekker, New York, 1980.

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  7. J. E. Marsden and M. McCracken, “The Hopf Bifurcation and Its Applications,” Springer-Verlag, New York, 1976.

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© 1990 Springer-Verlag

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Rothe, F., Shafer, D.S. (1990). Bifurcation in a quartic polynomial system arising in biology. In: Françoise, JP., Roussarie, R. (eds) Bifurcations of Planar Vector Fields. Lecture Notes in Mathematics, vol 1455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085400

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  • DOI: https://doi.org/10.1007/BFb0085400

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53509-6

  • Online ISBN: 978-3-540-46722-9

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